2. The difference between any term after the first and its predecessor in an arithmetic sequence is called the and is denoted by d.

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and 4 respectively then…

A:

Q: If the first term of a sequence is 4.5 and the common

A: Here we have to find the first 6 terms of the sequence where first term is 4.5 and common difference…

Q: (4) Find the sum of the sequence in (2) to an infinite number of terms.

A: identify the series

Q: 4 Find the infinite sum of the geometric sequence with a = 6, r = - if it exists. %3|

A:

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn 2n +…

A:

Q: Find the number of terms in the given finite arithmetic sequence 12,8,4,0,...-188

A:

Q: Show that the sequence defined by  a sub 1= 1  and  a sub n + 1 = 3 - (1/ a sub n) is increasing and…

A:

Q: Find the sum of the finite geometric sequence. E(-3)" - (-3)" – 1 n-1

A:

Q: 4. Find the common difference of the arithmetic sequence for which the first term is -12 and 23rd…

A:

Q: 11. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively, what…

A:

Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

A:

Q: 2. If the 7th term of a geometric sequence is 448 and the 17th term is 458752, what are the values…

A:

Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

A:

Q: If the 100th term of an arithmetic sequence is 691, and its common difference is 7, then its first…

A: nth term of an arithmetic sequence is given by, an = a1+ (n - 1)d  where a1 is first term and d is…

Q: 9. What is the sum of the first 15 terms of the arithmetic sequence -8, 7, 22, 37, . * O 202 O 1455…

A:

Q: Suppose you are given a sequence that is described by a formula, starting at index n=0. If you need…

A:

Q: 9 16 2' 3' 25 What is the 30th term of the sequence 4, -- -

A:

Q: Find the first four terms of the sequence recursively defined by a1 =3 and an = n + 2an-1.

A: Given, first term of sequence is And terms of sequence recursively define by

Q: explicity. 3) Write out the first three terms of the sequence 3+2n

A:

Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: 4. What are the first five terms in the recursive sequence defined by the following? a1 = %3D an =…

A: If you have given a recurrence sequence and given first term then using first term in the recurrence…

Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

A:

Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: Is the limit of the ratio of any two successive increasing terms of the Fibonacci sequence.

A:

Q: 1) Write out the first three terms of the sequence explicity. 1+n n=0

A:

Q: | 1. What are the first five terms in the recursive sequence defined by the following? = Ip An =…

A:

Q: If the 100th term of an arithmetic sequence is 182, and its common difference is 2, then its first…

A: Given that the 100th term of an arithmetic sequence is 182 and its common difference is 2.

Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

A:

Q: 1. Which is a finite arithmetic sequence?

A:

Q: I. Determine whether or not each of the following is an arithmetic sequence. 3. 3, 7, 11, 15,.. 4.…

A: To determine whether or not each of the following is an arithmetic sequence. 3 3,7,11,15,....4…

Q: I. Determine whether or not each of the following is an arithmetic sequence.

A:

Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: what is the sum of the first four thousand terms of the geometric sequence with initial term 3 and…

A: Given first term of G.P, a=3 And common ratio, r=-1 Here, r<1 We know that if r<1 then sum of…

Q: Find the sum of the finite arithmetic sequence. Sum of the integers from  −40 to 50

A: Given  Integer from -40 to 50

Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

A:

Q: Find the fourth term of the recursively defined sequence. 1 an = 5 2 + a n-1

A: To find the fourth term of the given recursively defined sequence.

Q: If 4x,x+2 and x-5 form in arithmetic sequence,what is the value of x?

A: Given         4x  , x+2 and x-5 from in arithmetic sequence.      Since   4x  , x+2 and x-5 are in…

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and respectively then…

A:

Q: 1. If the first three terms of an arithmetic sequence are k - 2, 2k +1 and k + 2, find the value of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

A:

Q: If the 100th term of an arithmetic sequence is 213, and it's common difference 2, then what is the…

A:

Q: 17. Find the number of terms of the finite arithmetic sequence: 8, 14, 20, 26, ..., 320. (Make sure…

A:

Q: If the third and fourth terms of an arithmetic sequence are 12 and 16, what are the first and second…

A:

Q: Find the sum of the first 10 terms of an arithmetic sequence formed by odd integers starting from…

A: The objective is to find the sum of first 10 terms of an arithmetic sequence formed by odd integers…

Q: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second…

A: Given,

Q: 1. What are the first five terms in the recursive sequence defined by the following? a1 = 150 an =…

A:

Q: If the 100th term of an arithmetic sequence is 600, and its common difference is 6, then its first…

A:

Q: Find the first six terms of the piecewise sequence: S( - 2)" (– 2)" – 3 if n is even an = | 3-1 – 4…

A: n=1 , 3 , 5 are odd, so we use the second piece

Q: The sum of the first 33 terms of the geometric sequence 1, 2, 4

A: